Abstract
Vapor bubbles in a fluid experiencing radial pulsations created by an acoustic field are considered. It is shown that the resonance frequency of large vapor bubbles practically coincides with the eigenfrequency of adiabatic gas bubbles as determined by the Minnaert formula, while in the case of small vapor bubbles, the presence of capillary effects and phase transitions leads to a new resonance frequency that differs from the Minnaert frequency. A simple analytic formula is obtained that relates the resonance frequency of a vapor bubble and its radius; the formula is in good agreement with the results of a numerical solution of the problem. Ranges of dimensions of bubbles, and frequencies of the acoustic field are given, within which different approximations of the relation between resonance frequency and bubble radius hold true. Numerical computations of the resonance frequency based on the radius of a vapor bubble and resonance dimension of a bubble based on field frequency are presented. It is shown that there exists two resonance frequencies and two resonance dimensions of a vapor bubble within some range of dimension of bubbles and acoustic field frequencies. It has also been found /1,2/ that the dynamics of vapor bubbles in an acoustic field reveal the existance of two resonance dimensions of the bubbles. The existence of a new resonance frequency for vapor bubble different from the Minnaert frequency /3/ has also been established /1/. The resonance properties of homogeneous, equilibrium vapor bubbles has been previously reviewed /4/, though the resonance frequencies of bubbles were not determined entirely correctly. An attempt has been made /5/ to analytically determine the resonance dimensions of vapor bubbles and to physically explain the nature of the second resonance. However, since surface tension was ignored and other inaccuracies were made, an incorrect formula was derived in the latter article which did not describe the actual values of the resonance dimensions of vapor bubbles, for example, in versions previously considered /1,2/.
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